01471nam a2200193Ia 4500 MX-MdCICY 20260521091519.0 CICY B-16230 On the numerical solution of two-point boundary value problems Communications on Pure and Applied Mathematics, 44(4), p.419-452, 1991 In this paper, we present a new numerical method for the solution of linear two-point boundary value problems of ordinary differential equations. After reducing the differential equation to a second kind integral equation, we discretize the latter via a high order Nyström scheme. A somewhat involved analytical apparatus is then constructed which allows for the solution of the discrete system using O (N·p2)operations, where N is the number of nodes on the interval and p is the desired order of convergence. Thus, the advantages of the integral equation formulation (small condition number, insensitivity to boundary layers, insensitivity to end-point singularities, etc.)are retained, while achieving a computational efficiency previously available only to finite difference or finite element methods. BOUNDARY Greengard, L. Rokhlin, V. https://drive.google.com/file/d/1YO1ffcoSl97zezTUVe1lvXsoV0Gm5HMu/view?usp=drivesdk Para ver el documento ingresa a Google con tu cuenta: @cicy.edu.mx Loc REF1 250602s9999 xx |||||s2 |||| ||und|d 26343 26343 0 0 Loc 0 0 F1 CICY CICY RE 2025-06-25 0 B-16230 2025-06-25 16:01:47 2025-06-25 REF1